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Finding the Fourth Proportional to 321,744.81, 482,617.80 and 132,072.98

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Solution

The fourth proportional to 321,744.81, 482,617.80 and 132,072.98 is: 198,109.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,744.81 : 482,617.80 = 132,072.98 : x
  2. Step 2: Convert to fraction form
    321,744.81/482,617.80 = 132,072.98/x
  3. Step 3: Cross multiply
    321,744.81x = 482,617.80 × 132,072.98
  4. Step 4: Simplify right side
    321,744.81x = 63,740,772,253.59
  5. Step 5: Solve for x
    x = 63,740,772,253.59/321,744.81
  6. Step 6: Final answer
    x = 198,109.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.